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Finding the Fourth Proportional to 1,537.14, 2,305.70 and 382.89

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Solution

The fourth proportional to 1,537.14, 2,305.70 and 382.89 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.14 : 2,305.70 = 382.89 : x
  2. Step 2: Convert to fraction form
    1,537.14/2,305.70 = 382.89/x
  3. Step 3: Cross multiply
    1,537.14x = 2,305.70 × 382.89
  4. Step 4: Simplify right side
    1,537.14x = 882,816.99
  5. Step 5: Solve for x
    x = 882,816.99/1,537.14
  6. Step 6: Final answer
    x = 574.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.